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Finding the Fourth Proportional to 678,904, 1,018,356 and 235,672

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Solution

The fourth proportional to 678,904, 1,018,356 and 235,672 is: 353,508

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,904 : 1,018,356 = 235,672 : x
  2. Step 2: Convert to fraction form
    678,904/1,018,356 = 235,672/x
  3. Step 3: Cross multiply
    678,904x = 1,018,356 × 235,672
  4. Step 4: Simplify right side
    678,904x = 239,997,995,232
  5. Step 5: Solve for x
    x = 239,997,995,232/678,904
  6. Step 6: Final answer
    x = 353,508

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.